LMFDB - Group of Dirichlet characters of modulus 731025

Show commands: PariGP / SageMath

sage: H = DirichletGroup(731025)

pari: g = idealstar(,731025,2)

Character group

sage: G.order() pari: g.no
Order	=	369360
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{18}\times C_{10260}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{731025}(279776,\cdot)$, $\chi_{731025}(321652,\cdot)$, $\chi_{731025}(129601,\cdot)$

First 32 of 369360 characters

Each row describes a character. When available, the columns show the orbit label, order of the character, whether the character is primitive, and several values of the character.

Character	Orbit	Order	Primitive	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{731025}(1,\cdot)$	731025.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{731025}(2,\cdot)$	731025.bvw	10260	yes	$-1$	$1$	$e\left(\frac{733}{10260}\right)$	$e\left(\frac{733}{5130}\right)$	$e\left(\frac{2021}{2052}\right)$	$e\left(\frac{733}{3420}\right)$	$e\left(\frac{1739}{5130}\right)$	$e\left(\frac{617}{10260}\right)$	$e\left(\frac{289}{5130}\right)$	$e\left(\frac{733}{2565}\right)$	$e\left(\frac{1051}{1140}\right)$	$e\left(\frac{4211}{10260}\right)$
$\chi_{731025}(4,\cdot)$	731025.bug	5130	yes	$1$	$1$	$e\left(\frac{733}{5130}\right)$	$e\left(\frac{733}{2565}\right)$	$e\left(\frac{995}{1026}\right)$	$e\left(\frac{733}{1710}\right)$	$e\left(\frac{1739}{2565}\right)$	$e\left(\frac{617}{5130}\right)$	$e\left(\frac{289}{2565}\right)$	$e\left(\frac{1466}{2565}\right)$	$e\left(\frac{481}{570}\right)$	$e\left(\frac{4211}{5130}\right)$
$\chi_{731025}(7,\cdot)$	731025.bpn	2052	no	$-1$	$1$	$e\left(\frac{2021}{2052}\right)$	$e\left(\frac{995}{1026}\right)$	$e\left(\frac{1601}{2052}\right)$	$e\left(\frac{653}{684}\right)$	$e\left(\frac{302}{513}\right)$	$e\left(\frac{859}{2052}\right)$	$e\left(\frac{785}{1026}\right)$	$e\left(\frac{482}{513}\right)$	$e\left(\frac{103}{684}\right)$	$e\left(\frac{1177}{2052}\right)$
$\chi_{731025}(8,\cdot)$	731025.bri	3420	no	$-1$	$1$	$e\left(\frac{733}{3420}\right)$	$e\left(\frac{733}{1710}\right)$	$e\left(\frac{653}{684}\right)$	$e\left(\frac{733}{1140}\right)$	$e\left(\frac{29}{1710}\right)$	$e\left(\frac{617}{3420}\right)$	$e\left(\frac{289}{1710}\right)$	$e\left(\frac{733}{855}\right)$	$e\left(\frac{291}{380}\right)$	$e\left(\frac{791}{3420}\right)$
$\chi_{731025}(11,\cdot)$	731025.btk	5130	yes	$-1$	$1$	$e\left(\frac{1739}{5130}\right)$	$e\left(\frac{1739}{2565}\right)$	$e\left(\frac{302}{513}\right)$	$e\left(\frac{29}{1710}\right)$	$e\left(\frac{1799}{5130}\right)$	$e\left(\frac{638}{2565}\right)$	$e\left(\frac{4759}{5130}\right)$	$e\left(\frac{913}{2565}\right)$	$e\left(\frac{1279}{1710}\right)$	$e\left(\frac{1769}{2565}\right)$
$\chi_{731025}(13,\cdot)$	731025.buq	10260	yes	$1$	$1$	$e\left(\frac{617}{10260}\right)$	$e\left(\frac{617}{5130}\right)$	$e\left(\frac{859}{2052}\right)$	$e\left(\frac{617}{3420}\right)$	$e\left(\frac{638}{2565}\right)$	$e\left(\frac{7483}{10260}\right)$	$e\left(\frac{1228}{2565}\right)$	$e\left(\frac{617}{2565}\right)$	$e\left(\frac{739}{1140}\right)$	$e\left(\frac{3169}{10260}\right)$
$\chi_{731025}(14,\cdot)$	731025.bte	5130	yes	$1$	$1$	$e\left(\frac{289}{5130}\right)$	$e\left(\frac{289}{2565}\right)$	$e\left(\frac{785}{1026}\right)$	$e\left(\frac{289}{1710}\right)$	$e\left(\frac{4759}{5130}\right)$	$e\left(\frac{1228}{2565}\right)$	$e\left(\frac{2107}{2565}\right)$	$e\left(\frac{578}{2565}\right)$	$e\left(\frac{62}{855}\right)$	$e\left(\frac{2524}{2565}\right)$
$\chi_{731025}(16,\cdot)$	731025.bqa	2565	yes	$1$	$1$	$e\left(\frac{733}{2565}\right)$	$e\left(\frac{1466}{2565}\right)$	$e\left(\frac{482}{513}\right)$	$e\left(\frac{733}{855}\right)$	$e\left(\frac{913}{2565}\right)$	$e\left(\frac{617}{2565}\right)$	$e\left(\frac{578}{2565}\right)$	$e\left(\frac{367}{2565}\right)$	$e\left(\frac{196}{285}\right)$	$e\left(\frac{1646}{2565}\right)$
$\chi_{731025}(17,\cdot)$	731025.bsa	3420	no	$1$	$1$	$e\left(\frac{1051}{1140}\right)$	$e\left(\frac{481}{570}\right)$	$e\left(\frac{103}{684}\right)$	$e\left(\frac{291}{380}\right)$	$e\left(\frac{1279}{1710}\right)$	$e\left(\frac{739}{1140}\right)$	$e\left(\frac{62}{855}\right)$	$e\left(\frac{196}{285}\right)$	$e\left(\frac{3289}{3420}\right)$	$e\left(\frac{2291}{3420}\right)$
$\chi_{731025}(22,\cdot)$	731025.bvj	10260	yes	$1$	$1$	$e\left(\frac{4211}{10260}\right)$	$e\left(\frac{4211}{5130}\right)$	$e\left(\frac{1177}{2052}\right)$	$e\left(\frac{791}{3420}\right)$	$e\left(\frac{1769}{2565}\right)$	$e\left(\frac{3169}{10260}\right)$	$e\left(\frac{2524}{2565}\right)$	$e\left(\frac{1646}{2565}\right)$	$e\left(\frac{2291}{3420}\right)$	$e\left(\frac{1027}{10260}\right)$
$\chi_{731025}(23,\cdot)$	731025.bvx	10260	yes	$1$	$1$	$e\left(\frac{1853}{10260}\right)$	$e\left(\frac{1853}{5130}\right)$	$e\left(\frac{91}{2052}\right)$	$e\left(\frac{1853}{3420}\right)$	$e\left(\frac{5089}{5130}\right)$	$e\left(\frac{5437}{10260}\right)$	$e\left(\frac{577}{2565}\right)$	$e\left(\frac{1853}{2565}\right)$	$e\left(\frac{401}{1140}\right)$	$e\left(\frac{1771}{10260}\right)$
$\chi_{731025}(26,\cdot)$	731025.tr	114	no	$-1$	$1$	$e\left(\frac{5}{38}\right)$	$e\left(\frac{5}{19}\right)$	$e\left(\frac{23}{57}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{67}{114}\right)$	$e\left(\frac{15}{19}\right)$	$e\left(\frac{61}{114}\right)$	$e\left(\frac{10}{19}\right)$	$e\left(\frac{65}{114}\right)$	$e\left(\frac{41}{57}\right)$
$\chi_{731025}(28,\cdot)$	731025.wc	180	no	$-1$	$1$	$e\left(\frac{23}{180}\right)$	$e\left(\frac{23}{90}\right)$	$-i$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{97}{180}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{179}{180}\right)$	$e\left(\frac{71}{180}\right)$
$\chi_{731025}(29,\cdot)$	731025.bsw	5130	yes	$1$	$1$	$e\left(\frac{4283}{5130}\right)$	$e\left(\frac{1718}{2565}\right)$	$e\left(\frac{943}{1026}\right)$	$e\left(\frac{863}{1710}\right)$	$e\left(\frac{2963}{5130}\right)$	$e\left(\frac{1886}{2565}\right)$	$e\left(\frac{1934}{2565}\right)$	$e\left(\frac{871}{2565}\right)$	$e\left(\frac{124}{855}\right)$	$e\left(\frac{1058}{2565}\right)$
$\chi_{731025}(31,\cdot)$	731025.buc	5130	yes	$-1$	$1$	$e\left(\frac{3367}{5130}\right)$	$e\left(\frac{802}{2565}\right)$	$e\left(\frac{421}{513}\right)$	$e\left(\frac{1657}{1710}\right)$	$e\left(\frac{1496}{2565}\right)$	$e\left(\frac{233}{5130}\right)$	$e\left(\frac{2447}{5130}\right)$	$e\left(\frac{1604}{2565}\right)$	$e\left(\frac{556}{855}\right)$	$e\left(\frac{1229}{5130}\right)$
$\chi_{731025}(32,\cdot)$	731025.bpx	2052	no	$-1$	$1$	$e\left(\frac{733}{2052}\right)$	$e\left(\frac{733}{1026}\right)$	$e\left(\frac{1897}{2052}\right)$	$e\left(\frac{49}{684}\right)$	$e\left(\frac{713}{1026}\right)$	$e\left(\frac{617}{2052}\right)$	$e\left(\frac{289}{1026}\right)$	$e\left(\frac{220}{513}\right)$	$e\left(\frac{139}{228}\right)$	$e\left(\frac{107}{2052}\right)$
$\chi_{731025}(34,\cdot)$	731025.bua	5130	yes	$-1$	$1$	$e\left(\frac{2548}{2565}\right)$	$e\left(\frac{2531}{2565}\right)$	$e\left(\frac{139}{1026}\right)$	$e\left(\frac{838}{855}\right)$	$e\left(\frac{223}{2565}\right)$	$e\left(\frac{1817}{2565}\right)$	$e\left(\frac{661}{5130}\right)$	$e\left(\frac{2497}{2565}\right)$	$e\left(\frac{1511}{1710}\right)$	$e\left(\frac{206}{2565}\right)$
$\chi_{731025}(37,\cdot)$	731025.bre	3420	no	$1$	$1$	$e\left(\frac{1229}{3420}\right)$	$e\left(\frac{1229}{1710}\right)$	$e\left(\frac{295}{684}\right)$	$e\left(\frac{89}{1140}\right)$	$e\left(\frac{626}{855}\right)$	$e\left(\frac{211}{3420}\right)$	$e\left(\frac{676}{855}\right)$	$e\left(\frac{374}{855}\right)$	$e\left(\frac{289}{1140}\right)$	$e\left(\frac{313}{3420}\right)$
$\chi_{731025}(41,\cdot)$	731025.bsz	5130	yes	$1$	$1$	$e\left(\frac{968}{2565}\right)$	$e\left(\frac{1936}{2565}\right)$	$e\left(\frac{46}{513}\right)$	$e\left(\frac{113}{855}\right)$	$e\left(\frac{4831}{5130}\right)$	$e\left(\frac{539}{5130}\right)$	$e\left(\frac{1198}{2565}\right)$	$e\left(\frac{1307}{2565}\right)$	$e\left(\frac{451}{1710}\right)$	$e\left(\frac{1637}{5130}\right)$
$\chi_{731025}(43,\cdot)$	731025.boq	2052	no	$-1$	$1$	$e\left(\frac{635}{2052}\right)$	$e\left(\frac{635}{1026}\right)$	$e\left(\frac{155}{2052}\right)$	$e\left(\frac{635}{684}\right)$	$e\left(\frac{413}{513}\right)$	$e\left(\frac{1093}{2052}\right)$	$e\left(\frac{395}{1026}\right)$	$e\left(\frac{122}{513}\right)$	$e\left(\frac{127}{228}\right)$	$e\left(\frac{235}{2052}\right)$
$\chi_{731025}(44,\cdot)$	731025.bms	1710	no	$-1$	$1$	$e\left(\frac{412}{855}\right)$	$e\left(\frac{824}{855}\right)$	$e\left(\frac{191}{342}\right)$	$e\left(\frac{127}{285}\right)$	$e\left(\frac{49}{1710}\right)$	$e\left(\frac{631}{1710}\right)$	$e\left(\frac{23}{570}\right)$	$e\left(\frac{793}{855}\right)$	$e\left(\frac{506}{855}\right)$	$e\left(\frac{97}{190}\right)$
$\chi_{731025}(46,\cdot)$	731025.bnn	1710	no	$-1$	$1$	$e\left(\frac{431}{1710}\right)$	$e\left(\frac{431}{855}\right)$	$e\left(\frac{5}{171}\right)$	$e\left(\frac{431}{570}\right)$	$e\left(\frac{283}{855}\right)$	$e\left(\frac{1009}{1710}\right)$	$e\left(\frac{481}{1710}\right)$	$e\left(\frac{7}{855}\right)$	$e\left(\frac{26}{95}\right)$	$e\left(\frac{997}{1710}\right)$
$\chi_{731025}(47,\cdot)$	731025.buz	10260	yes	$1$	$1$	$e\left(\frac{571}{10260}\right)$	$e\left(\frac{571}{5130}\right)$	$e\left(\frac{1493}{2052}\right)$	$e\left(\frac{571}{3420}\right)$	$e\left(\frac{203}{5130}\right)$	$e\left(\frac{2039}{10260}\right)$	$e\left(\frac{2009}{2565}\right)$	$e\left(\frac{571}{2565}\right)$	$e\left(\frac{1741}{3420}\right)$	$e\left(\frac{977}{10260}\right)$
$\chi_{731025}(49,\cdot)$	731025.bjt	1026	no	$1$	$1$	$e\left(\frac{995}{1026}\right)$	$e\left(\frac{482}{513}\right)$	$e\left(\frac{575}{1026}\right)$	$e\left(\frac{311}{342}\right)$	$e\left(\frac{91}{513}\right)$	$e\left(\frac{859}{1026}\right)$	$e\left(\frac{272}{513}\right)$	$e\left(\frac{451}{513}\right)$	$e\left(\frac{103}{342}\right)$	$e\left(\frac{151}{1026}\right)$
$\chi_{731025}(52,\cdot)$	731025.buu	10260	yes	$1$	$1$	$e\left(\frac{2083}{10260}\right)$	$e\left(\frac{2083}{5130}\right)$	$e\left(\frac{797}{2052}\right)$	$e\left(\frac{2083}{3420}\right)$	$e\left(\frac{2377}{2565}\right)$	$e\left(\frac{8717}{10260}\right)$	$e\left(\frac{1517}{2565}\right)$	$e\left(\frac{2083}{2565}\right)$	$e\left(\frac{187}{380}\right)$	$e\left(\frac{1331}{10260}\right)$
$\chi_{731025}(53,\cdot)$	731025.bru	3420	no	$-1$	$1$	$e\left(\frac{1457}{3420}\right)$	$e\left(\frac{1457}{1710}\right)$	$e\left(\frac{37}{76}\right)$	$e\left(\frac{317}{1140}\right)$	$e\left(\frac{107}{570}\right)$	$e\left(\frac{553}{3420}\right)$	$e\left(\frac{1561}{1710}\right)$	$e\left(\frac{602}{855}\right)$	$e\left(\frac{3071}{3420}\right)$	$e\left(\frac{2099}{3420}\right)$
$\chi_{731025}(56,\cdot)$	731025.bth	5130	yes	$1$	$1$	$e\left(\frac{511}{2565}\right)$	$e\left(\frac{1022}{2565}\right)$	$e\left(\frac{377}{513}\right)$	$e\left(\frac{511}{855}\right)$	$e\left(\frac{3107}{5130}\right)$	$e\left(\frac{3073}{5130}\right)$	$e\left(\frac{2396}{2565}\right)$	$e\left(\frac{2044}{2565}\right)$	$e\left(\frac{1567}{1710}\right)$	$e\left(\frac{4129}{5130}\right)$
$\chi_{731025}(58,\cdot)$	731025.bvn	10260	yes	$-1$	$1$	$e\left(\frac{9299}{10260}\right)$	$e\left(\frac{4169}{5130}\right)$	$e\left(\frac{1855}{2052}\right)$	$e\left(\frac{2459}{3420}\right)$	$e\left(\frac{2351}{2565}\right)$	$e\left(\frac{8161}{10260}\right)$	$e\left(\frac{4157}{5130}\right)$	$e\left(\frac{1604}{2565}\right)$	$e\left(\frac{229}{3420}\right)$	$e\left(\frac{8443}{10260}\right)$
$\chi_{731025}(59,\cdot)$	731025.bte	5130	yes	$1$	$1$	$e\left(\frac{5071}{5130}\right)$	$e\left(\frac{2506}{2565}\right)$	$e\left(\frac{35}{1026}\right)$	$e\left(\frac{1651}{1710}\right)$	$e\left(\frac{271}{5130}\right)$	$e\left(\frac{1267}{2565}\right)$	$e\left(\frac{58}{2565}\right)$	$e\left(\frac{2447}{2565}\right)$	$e\left(\frac{653}{855}\right)$	$e\left(\frac{106}{2565}\right)$
$\chi_{731025}(61,\cdot)$	731025.bqf	2565	yes	$1$	$1$	$e\left(\frac{82}{2565}\right)$	$e\left(\frac{164}{2565}\right)$	$e\left(\frac{389}{513}\right)$	$e\left(\frac{82}{855}\right)$	$e\left(\frac{1942}{2565}\right)$	$e\left(\frac{1043}{2565}\right)$	$e\left(\frac{2027}{2565}\right)$	$e\left(\frac{328}{2565}\right)$	$e\left(\frac{832}{855}\right)$	$e\left(\frac{2024}{2565}\right)$
$\chi_{731025}(62,\cdot)$	731025.vw	180	no	$1$	$1$	$e\left(\frac{131}{180}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{19}{180}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{103}{180}\right)$	$e\left(\frac{13}{20}\right)$

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Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Modulus	$731025$
Structure	\(C_{2}\times C_{18}\times C_{10260}\)
Order	$369360$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(22\)
\(\chi_{731025}(1,\cdot)\)	731025.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{731025}(2,\cdot)\)	731025.bvw	10260	yes	\(-1\)	\(1\)	\(e\left(\frac{733}{10260}\right)\)	\(e\left(\frac{733}{5130}\right)\)	\(e\left(\frac{2021}{2052}\right)\)	\(e\left(\frac{733}{3420}\right)\)	\(e\left(\frac{1739}{5130}\right)\)	\(e\left(\frac{617}{10260}\right)\)	\(e\left(\frac{289}{5130}\right)\)	\(e\left(\frac{733}{2565}\right)\)	\(e\left(\frac{1051}{1140}\right)\)	\(e\left(\frac{4211}{10260}\right)\)
\(\chi_{731025}(4,\cdot)\)	731025.bug	5130	yes	\(1\)	\(1\)	\(e\left(\frac{733}{5130}\right)\)	\(e\left(\frac{733}{2565}\right)\)	\(e\left(\frac{995}{1026}\right)\)	\(e\left(\frac{733}{1710}\right)\)	\(e\left(\frac{1739}{2565}\right)\)	\(e\left(\frac{617}{5130}\right)\)	\(e\left(\frac{289}{2565}\right)\)	\(e\left(\frac{1466}{2565}\right)\)	\(e\left(\frac{481}{570}\right)\)	\(e\left(\frac{4211}{5130}\right)\)
\(\chi_{731025}(7,\cdot)\)	731025.bpn	2052	no	\(-1\)	\(1\)	\(e\left(\frac{2021}{2052}\right)\)	\(e\left(\frac{995}{1026}\right)\)	\(e\left(\frac{1601}{2052}\right)\)	\(e\left(\frac{653}{684}\right)\)	\(e\left(\frac{302}{513}\right)\)	\(e\left(\frac{859}{2052}\right)\)	\(e\left(\frac{785}{1026}\right)\)	\(e\left(\frac{482}{513}\right)\)	\(e\left(\frac{103}{684}\right)\)	\(e\left(\frac{1177}{2052}\right)\)
\(\chi_{731025}(8,\cdot)\)	731025.bri	3420	no	\(-1\)	\(1\)	\(e\left(\frac{733}{3420}\right)\)	\(e\left(\frac{733}{1710}\right)\)	\(e\left(\frac{653}{684}\right)\)	\(e\left(\frac{733}{1140}\right)\)	\(e\left(\frac{29}{1710}\right)\)	\(e\left(\frac{617}{3420}\right)\)	\(e\left(\frac{289}{1710}\right)\)	\(e\left(\frac{733}{855}\right)\)	\(e\left(\frac{291}{380}\right)\)	\(e\left(\frac{791}{3420}\right)\)
\(\chi_{731025}(11,\cdot)\)	731025.btk	5130	yes	\(-1\)	\(1\)	\(e\left(\frac{1739}{5130}\right)\)	\(e\left(\frac{1739}{2565}\right)\)	\(e\left(\frac{302}{513}\right)\)	\(e\left(\frac{29}{1710}\right)\)	\(e\left(\frac{1799}{5130}\right)\)	\(e\left(\frac{638}{2565}\right)\)	\(e\left(\frac{4759}{5130}\right)\)	\(e\left(\frac{913}{2565}\right)\)	\(e\left(\frac{1279}{1710}\right)\)	\(e\left(\frac{1769}{2565}\right)\)
\(\chi_{731025}(13,\cdot)\)	731025.buq	10260	yes	\(1\)	\(1\)	\(e\left(\frac{617}{10260}\right)\)	\(e\left(\frac{617}{5130}\right)\)	\(e\left(\frac{859}{2052}\right)\)	\(e\left(\frac{617}{3420}\right)\)	\(e\left(\frac{638}{2565}\right)\)	\(e\left(\frac{7483}{10260}\right)\)	\(e\left(\frac{1228}{2565}\right)\)	\(e\left(\frac{617}{2565}\right)\)	\(e\left(\frac{739}{1140}\right)\)	\(e\left(\frac{3169}{10260}\right)\)
\(\chi_{731025}(14,\cdot)\)	731025.bte	5130	yes	\(1\)	\(1\)	\(e\left(\frac{289}{5130}\right)\)	\(e\left(\frac{289}{2565}\right)\)	\(e\left(\frac{785}{1026}\right)\)	\(e\left(\frac{289}{1710}\right)\)	\(e\left(\frac{4759}{5130}\right)\)	\(e\left(\frac{1228}{2565}\right)\)	\(e\left(\frac{2107}{2565}\right)\)	\(e\left(\frac{578}{2565}\right)\)	\(e\left(\frac{62}{855}\right)\)	\(e\left(\frac{2524}{2565}\right)\)
\(\chi_{731025}(16,\cdot)\)	731025.bqa	2565	yes	\(1\)	\(1\)	\(e\left(\frac{733}{2565}\right)\)	\(e\left(\frac{1466}{2565}\right)\)	\(e\left(\frac{482}{513}\right)\)	\(e\left(\frac{733}{855}\right)\)	\(e\left(\frac{913}{2565}\right)\)	\(e\left(\frac{617}{2565}\right)\)	\(e\left(\frac{578}{2565}\right)\)	\(e\left(\frac{367}{2565}\right)\)	\(e\left(\frac{196}{285}\right)\)	\(e\left(\frac{1646}{2565}\right)\)
\(\chi_{731025}(17,\cdot)\)	731025.bsa	3420	no	\(1\)	\(1\)	\(e\left(\frac{1051}{1140}\right)\)	\(e\left(\frac{481}{570}\right)\)	\(e\left(\frac{103}{684}\right)\)	\(e\left(\frac{291}{380}\right)\)	\(e\left(\frac{1279}{1710}\right)\)	\(e\left(\frac{739}{1140}\right)\)	\(e\left(\frac{62}{855}\right)\)	\(e\left(\frac{196}{285}\right)\)	\(e\left(\frac{3289}{3420}\right)\)	\(e\left(\frac{2291}{3420}\right)\)
\(\chi_{731025}(22,\cdot)\)	731025.bvj	10260	yes	\(1\)	\(1\)	\(e\left(\frac{4211}{10260}\right)\)	\(e\left(\frac{4211}{5130}\right)\)	\(e\left(\frac{1177}{2052}\right)\)	\(e\left(\frac{791}{3420}\right)\)	\(e\left(\frac{1769}{2565}\right)\)	\(e\left(\frac{3169}{10260}\right)\)	\(e\left(\frac{2524}{2565}\right)\)	\(e\left(\frac{1646}{2565}\right)\)	\(e\left(\frac{2291}{3420}\right)\)	\(e\left(\frac{1027}{10260}\right)\)
\(\chi_{731025}(23,\cdot)\)	731025.bvx	10260	yes	\(1\)	\(1\)	\(e\left(\frac{1853}{10260}\right)\)	\(e\left(\frac{1853}{5130}\right)\)	\(e\left(\frac{91}{2052}\right)\)	\(e\left(\frac{1853}{3420}\right)\)	\(e\left(\frac{5089}{5130}\right)\)	\(e\left(\frac{5437}{10260}\right)\)	\(e\left(\frac{577}{2565}\right)\)	\(e\left(\frac{1853}{2565}\right)\)	\(e\left(\frac{401}{1140}\right)\)	\(e\left(\frac{1771}{10260}\right)\)
\(\chi_{731025}(26,\cdot)\)	731025.tr	114	no	\(-1\)	\(1\)	\(e\left(\frac{5}{38}\right)\)	\(e\left(\frac{5}{19}\right)\)	\(e\left(\frac{23}{57}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{67}{114}\right)\)	\(e\left(\frac{15}{19}\right)\)	\(e\left(\frac{61}{114}\right)\)	\(e\left(\frac{10}{19}\right)\)	\(e\left(\frac{65}{114}\right)\)	\(e\left(\frac{41}{57}\right)\)
\(\chi_{731025}(28,\cdot)\)	731025.wc	180	no	\(-1\)	\(1\)	\(e\left(\frac{23}{180}\right)\)	\(e\left(\frac{23}{90}\right)\)	\(-i\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{97}{180}\right)\)	\(e\left(\frac{79}{90}\right)\)	\(e\left(\frac{23}{45}\right)\)	\(e\left(\frac{179}{180}\right)\)	\(e\left(\frac{71}{180}\right)\)
\(\chi_{731025}(29,\cdot)\)	731025.bsw	5130	yes	\(1\)	\(1\)	\(e\left(\frac{4283}{5130}\right)\)	\(e\left(\frac{1718}{2565}\right)\)	\(e\left(\frac{943}{1026}\right)\)	\(e\left(\frac{863}{1710}\right)\)	\(e\left(\frac{2963}{5130}\right)\)	\(e\left(\frac{1886}{2565}\right)\)	\(e\left(\frac{1934}{2565}\right)\)	\(e\left(\frac{871}{2565}\right)\)	\(e\left(\frac{124}{855}\right)\)	\(e\left(\frac{1058}{2565}\right)\)
\(\chi_{731025}(31,\cdot)\)	731025.buc	5130	yes	\(-1\)	\(1\)	\(e\left(\frac{3367}{5130}\right)\)	\(e\left(\frac{802}{2565}\right)\)	\(e\left(\frac{421}{513}\right)\)	\(e\left(\frac{1657}{1710}\right)\)	\(e\left(\frac{1496}{2565}\right)\)	\(e\left(\frac{233}{5130}\right)\)	\(e\left(\frac{2447}{5130}\right)\)	\(e\left(\frac{1604}{2565}\right)\)	\(e\left(\frac{556}{855}\right)\)	\(e\left(\frac{1229}{5130}\right)\)
\(\chi_{731025}(32,\cdot)\)	731025.bpx	2052	no	\(-1\)	\(1\)	\(e\left(\frac{733}{2052}\right)\)	\(e\left(\frac{733}{1026}\right)\)	\(e\left(\frac{1897}{2052}\right)\)	\(e\left(\frac{49}{684}\right)\)	\(e\left(\frac{713}{1026}\right)\)	\(e\left(\frac{617}{2052}\right)\)	\(e\left(\frac{289}{1026}\right)\)	\(e\left(\frac{220}{513}\right)\)	\(e\left(\frac{139}{228}\right)\)	\(e\left(\frac{107}{2052}\right)\)
\(\chi_{731025}(34,\cdot)\)	731025.bua	5130	yes	\(-1\)	\(1\)	\(e\left(\frac{2548}{2565}\right)\)	\(e\left(\frac{2531}{2565}\right)\)	\(e\left(\frac{139}{1026}\right)\)	\(e\left(\frac{838}{855}\right)\)	\(e\left(\frac{223}{2565}\right)\)	\(e\left(\frac{1817}{2565}\right)\)	\(e\left(\frac{661}{5130}\right)\)	\(e\left(\frac{2497}{2565}\right)\)	\(e\left(\frac{1511}{1710}\right)\)	\(e\left(\frac{206}{2565}\right)\)
\(\chi_{731025}(37,\cdot)\)	731025.bre	3420	no	\(1\)	\(1\)	\(e\left(\frac{1229}{3420}\right)\)	\(e\left(\frac{1229}{1710}\right)\)	\(e\left(\frac{295}{684}\right)\)	\(e\left(\frac{89}{1140}\right)\)	\(e\left(\frac{626}{855}\right)\)	\(e\left(\frac{211}{3420}\right)\)	\(e\left(\frac{676}{855}\right)\)	\(e\left(\frac{374}{855}\right)\)	\(e\left(\frac{289}{1140}\right)\)	\(e\left(\frac{313}{3420}\right)\)
\(\chi_{731025}(41,\cdot)\)	731025.bsz	5130	yes	\(1\)	\(1\)	\(e\left(\frac{968}{2565}\right)\)	\(e\left(\frac{1936}{2565}\right)\)	\(e\left(\frac{46}{513}\right)\)	\(e\left(\frac{113}{855}\right)\)	\(e\left(\frac{4831}{5130}\right)\)	\(e\left(\frac{539}{5130}\right)\)	\(e\left(\frac{1198}{2565}\right)\)	\(e\left(\frac{1307}{2565}\right)\)	\(e\left(\frac{451}{1710}\right)\)	\(e\left(\frac{1637}{5130}\right)\)
\(\chi_{731025}(43,\cdot)\)	731025.boq	2052	no	\(-1\)	\(1\)	\(e\left(\frac{635}{2052}\right)\)	\(e\left(\frac{635}{1026}\right)\)	\(e\left(\frac{155}{2052}\right)\)	\(e\left(\frac{635}{684}\right)\)	\(e\left(\frac{413}{513}\right)\)	\(e\left(\frac{1093}{2052}\right)\)	\(e\left(\frac{395}{1026}\right)\)	\(e\left(\frac{122}{513}\right)\)	\(e\left(\frac{127}{228}\right)\)	\(e\left(\frac{235}{2052}\right)\)
\(\chi_{731025}(44,\cdot)\)	731025.bms	1710	no	\(-1\)	\(1\)	\(e\left(\frac{412}{855}\right)\)	\(e\left(\frac{824}{855}\right)\)	\(e\left(\frac{191}{342}\right)\)	\(e\left(\frac{127}{285}\right)\)	\(e\left(\frac{49}{1710}\right)\)	\(e\left(\frac{631}{1710}\right)\)	\(e\left(\frac{23}{570}\right)\)	\(e\left(\frac{793}{855}\right)\)	\(e\left(\frac{506}{855}\right)\)	\(e\left(\frac{97}{190}\right)\)
\(\chi_{731025}(46,\cdot)\)	731025.bnn	1710	no	\(-1\)	\(1\)	\(e\left(\frac{431}{1710}\right)\)	\(e\left(\frac{431}{855}\right)\)	\(e\left(\frac{5}{171}\right)\)	\(e\left(\frac{431}{570}\right)\)	\(e\left(\frac{283}{855}\right)\)	\(e\left(\frac{1009}{1710}\right)\)	\(e\left(\frac{481}{1710}\right)\)	\(e\left(\frac{7}{855}\right)\)	\(e\left(\frac{26}{95}\right)\)	\(e\left(\frac{997}{1710}\right)\)
\(\chi_{731025}(47,\cdot)\)	731025.buz	10260	yes	\(1\)	\(1\)	\(e\left(\frac{571}{10260}\right)\)	\(e\left(\frac{571}{5130}\right)\)	\(e\left(\frac{1493}{2052}\right)\)	\(e\left(\frac{571}{3420}\right)\)	\(e\left(\frac{203}{5130}\right)\)	\(e\left(\frac{2039}{10260}\right)\)	\(e\left(\frac{2009}{2565}\right)\)	\(e\left(\frac{571}{2565}\right)\)	\(e\left(\frac{1741}{3420}\right)\)	\(e\left(\frac{977}{10260}\right)\)
\(\chi_{731025}(49,\cdot)\)	731025.bjt	1026	no	\(1\)	\(1\)	\(e\left(\frac{995}{1026}\right)\)	\(e\left(\frac{482}{513}\right)\)	\(e\left(\frac{575}{1026}\right)\)	\(e\left(\frac{311}{342}\right)\)	\(e\left(\frac{91}{513}\right)\)	\(e\left(\frac{859}{1026}\right)\)	\(e\left(\frac{272}{513}\right)\)	\(e\left(\frac{451}{513}\right)\)	\(e\left(\frac{103}{342}\right)\)	\(e\left(\frac{151}{1026}\right)\)
\(\chi_{731025}(52,\cdot)\)	731025.buu	10260	yes	\(1\)	\(1\)	\(e\left(\frac{2083}{10260}\right)\)	\(e\left(\frac{2083}{5130}\right)\)	\(e\left(\frac{797}{2052}\right)\)	\(e\left(\frac{2083}{3420}\right)\)	\(e\left(\frac{2377}{2565}\right)\)	\(e\left(\frac{8717}{10260}\right)\)	\(e\left(\frac{1517}{2565}\right)\)	\(e\left(\frac{2083}{2565}\right)\)	\(e\left(\frac{187}{380}\right)\)	\(e\left(\frac{1331}{10260}\right)\)
\(\chi_{731025}(53,\cdot)\)	731025.bru	3420	no	\(-1\)	\(1\)	\(e\left(\frac{1457}{3420}\right)\)	\(e\left(\frac{1457}{1710}\right)\)	\(e\left(\frac{37}{76}\right)\)	\(e\left(\frac{317}{1140}\right)\)	\(e\left(\frac{107}{570}\right)\)	\(e\left(\frac{553}{3420}\right)\)	\(e\left(\frac{1561}{1710}\right)\)	\(e\left(\frac{602}{855}\right)\)	\(e\left(\frac{3071}{3420}\right)\)	\(e\left(\frac{2099}{3420}\right)\)
\(\chi_{731025}(56,\cdot)\)	731025.bth	5130	yes	\(1\)	\(1\)	\(e\left(\frac{511}{2565}\right)\)	\(e\left(\frac{1022}{2565}\right)\)	\(e\left(\frac{377}{513}\right)\)	\(e\left(\frac{511}{855}\right)\)	\(e\left(\frac{3107}{5130}\right)\)	\(e\left(\frac{3073}{5130}\right)\)	\(e\left(\frac{2396}{2565}\right)\)	\(e\left(\frac{2044}{2565}\right)\)	\(e\left(\frac{1567}{1710}\right)\)	\(e\left(\frac{4129}{5130}\right)\)
\(\chi_{731025}(58,\cdot)\)	731025.bvn	10260	yes	\(-1\)	\(1\)	\(e\left(\frac{9299}{10260}\right)\)	\(e\left(\frac{4169}{5130}\right)\)	\(e\left(\frac{1855}{2052}\right)\)	\(e\left(\frac{2459}{3420}\right)\)	\(e\left(\frac{2351}{2565}\right)\)	\(e\left(\frac{8161}{10260}\right)\)	\(e\left(\frac{4157}{5130}\right)\)	\(e\left(\frac{1604}{2565}\right)\)	\(e\left(\frac{229}{3420}\right)\)	\(e\left(\frac{8443}{10260}\right)\)
\(\chi_{731025}(59,\cdot)\)	731025.bte	5130	yes	\(1\)	\(1\)	\(e\left(\frac{5071}{5130}\right)\)	\(e\left(\frac{2506}{2565}\right)\)	\(e\left(\frac{35}{1026}\right)\)	\(e\left(\frac{1651}{1710}\right)\)	\(e\left(\frac{271}{5130}\right)\)	\(e\left(\frac{1267}{2565}\right)\)	\(e\left(\frac{58}{2565}\right)\)	\(e\left(\frac{2447}{2565}\right)\)	\(e\left(\frac{653}{855}\right)\)	\(e\left(\frac{106}{2565}\right)\)
\(\chi_{731025}(61,\cdot)\)	731025.bqf	2565	yes	\(1\)	\(1\)	\(e\left(\frac{82}{2565}\right)\)	\(e\left(\frac{164}{2565}\right)\)	\(e\left(\frac{389}{513}\right)\)	\(e\left(\frac{82}{855}\right)\)	\(e\left(\frac{1942}{2565}\right)\)	\(e\left(\frac{1043}{2565}\right)\)	\(e\left(\frac{2027}{2565}\right)\)	\(e\left(\frac{328}{2565}\right)\)	\(e\left(\frac{832}{855}\right)\)	\(e\left(\frac{2024}{2565}\right)\)
\(\chi_{731025}(62,\cdot)\)	731025.vw	180	no	\(1\)	\(1\)	\(e\left(\frac{131}{180}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{29}{36}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{83}{90}\right)\)	\(e\left(\frac{19}{180}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{41}{45}\right)\)	\(e\left(\frac{103}{180}\right)\)	\(e\left(\frac{13}{20}\right)\)

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.